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Finding the Third Proportional to 729,703 and 1,567,297

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Solution

The third proportional to 729,703 and 1,567,297 is: 3,366,328.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,703 : 1,567,297 = 1,567,297 : x
  2. Step 2: Convert to fraction form
    729,703/1,567,297 = 1,567,297/x
  3. Step 3: Cross multiply
    729,703x = 1,567,297 × 1,567,297
  4. Step 4: Simplify right side
    729,703x = 2,456,419,886,209
  5. Step 5: Solve for x
    x = 2,456,419,886,209/729,703
  6. Step 6: Final answer
    x = 3,366,328.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.